Table 7.
Mean Squared Error (MSE) Ratios: MAR Mechanism and N = 200
| Small interaction effect |
Large interaction effect |
||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Distribution | Parameter | CCA | FMLV | CMLV | FMC | CMC | CCA | FMLV | CMLV | FMC | CMC |
| Normal | α | 4.23 | 1.01 | 1.04 | 1.01 | 1.04 | 4.65 | 1.12 | 1.07 | 1.12 | 1.07 |
| γ 1 | 1.39 | 1.22 | 1.22 | 1.22 | 1.22 | 2.11 | 1.25 | 1.25 | 1.26 | 1.26 | |
| γ 2 | 1.66 | 1.17 | 1.17 | 1.18 | 1.18 | 1.72 | 1.36 | 1.36 | 1.36 | 1.36 | |
| γ 3 | 1.73 | 1.69 | 1.69 | 1.68 | 1.68 | 1.76 | 1.67 | 1.67 | 1.68 | 1.68 | |
| Skewed (lower tail missing) | α | 2.74 | 1.02 | 1.01 | 1.02 | 1.01 | 2.63 | 1.08 | 1.02 | 1.08 | 1.02 |
| γ 1 | 1.23 | 1.19 | 1.19 | 1.20 | 1.20 | 1.41 | 1.18 | 1.18 | 1.18 | 1.18 | |
| γ 2 | 1.18 | 1.05 | 1.05 | 1.06 | 1.06 | 1.21 | 1.05 | 1.05 | 1.05 | 1.05 | |
| γ 3 | 1.21 | 1.18 | 1.18 | 1.18 | 1.18 | 1.21 | 1.16 | 1.16 | 1.15 | 1.15 | |
| Skewed (upper tail missing) | γ | 4.07 | 1.11 | 1.25 | 1.11 | 1.26 | 3.48 | 1.24 | 1.39 | 1.24 | 1.40 |
| γ 1 | 1.52 | 1.70 | 1.70 | 1.69 | 1.69 | 2.02 | 1.93 | 1.93 | 1.90 | 1.90 | |
| γ 2 | 2.63 | 1.73 | 1.73 | 1.73 | 1.73 | 2.76 | 2.60 | 2.60 | 2.58 | 2.58 | |
| γ 3 | 3.66 | 3.99 | 3.99 | 3.95 | 3.95 | 3.89 | 4.86 | 4.86 | 4.82 | 4.82 | |
| Kurtotic | α | 4.00 | 1.03 | 1.05 | 1.03 | 1.05 | 4.15 | 1.19 | 1.09 | 1.19 | 1.09 |
| γ 1 | 1.43 | 1.34 | 1.34 | 1.34 | 1.34 | 2.01 | 1.28 | 1.28 | 1.29 | 1.29 | |
| γ 2 | 1.63 | 1.31 | 1.31 | 1.31 | 1.31 | 1.68 | 1.65 | 1.65 | 1.64 | 1.64 | |
| γ 3 | 1.89 | 1.85 | 1.85 | 1.85 | 1.85 | 1.92 | 1.86 | 1.86 | 1.86 | 1.86 | |
Note. Ratio of missing data MSE to complete-data MSE. Bold typeface denotes cases where the complete-case MSE is lower than a missing at random (MAR)-based MSE. The x and xz variables (γ1 and γ3, respectively) have 20% missing data. CCA = complete-case analysis; FMLV = free mean latent variable model; CMLV = constrained mean latent variable model; FMC = free mean centering; CMC = constrained mean centering.